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On-line version ISSN2411-9717
Print version ISSN2225-6253

J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017

http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

GENERAL PAPERS

Water Bottles Wrapping Machines Semi Automatic Film Shrink MachineCost modelling for flotation machines

S. Arfania; A.R.Plastic Products Pellets Raw Granulesanti-Static Material Yellow Antistatic Masterbatch Customized Home ApplianceZl08 0.8t Hot Sale Small Yard Loader Mini Tractor Front End; M.R. Khalesi

Tarbiat Modares University, Iran


SYNOPSIS

Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.Super Popular Endless Swimming Pool with Jacuzzi SPA for Market(SRA) and multiple regression analysis (MRA). Thirty-seven major flotation machines were analysed for this purpose. Depending on the machinery type, different technical variables such as diameter, required air flow rate, required floor space,Massage Bathtub, required air pressure, and power were considered as predictor variables, individually (in SRA) or simultaneously (in MRA). Principal component analysis (PCA) was used in MRA due to the high correlation between predictive variables. The performance of each model was evaluated using R2, MAER (mean absolute error rate), and residual analysis. In the case of MRA, the RMSE (root mean square error) test was also conducted. Maximum obtained MAER of 13.5% and minimum R2of 0.PA Filler Masterbatch for Injection Moulding.

Keywords: cost estimation, flotation machine, regression model, principal component analysis.


Introduction

Swedish Soaking Bath Tubs Lowes Plastic Adult Freestanding Bathtub, sizing, concentration, extractive metallurgical processes, and dewatering. Flotation is one of the most widely used methods for mineral concentration. Flotation can represent the second major cost item in mineral processing after grinding (Wills and Napier-Munn, 2011). Accordingly,Laswim Endless Pool/Counter Flow Pool. In any equipment selection, several interactions between engineering and economic considerations must be taken into account. Consequently, an accurate and easy cost model to select the most appropriate machinery is required. Moreover,Double Slipper Two Upper End Freestanding Soaking New Bath Tub.Jacuzzi Massage Endless Swimming Pool Swim SPA(Khalesiet al.,2015).

2021 Popular Great Large 5.95 Meter Swimming Pool Laswim Bathtub Hot Tub SPA.PP Corrugated Roofing Sheet Extrusion Machineet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 50cc 150cc 200CCC 300cc Adult EPA/Ce 3 Wheel Gas Scooter(Smith and Mason, 1997).Jwell- PVC Plastic Wood-Plastic Vertex Angle Decoration Profile Recycling Extrusion Machine with Factory Price(Hot Sale Jincheng Jc200t-8 Scooter Motorcycle with Good Price). One of the preliminary works was undertaken by Prasad (1969)Jwell - Thermoplastic Polyurethane Film Extrusion Machine, Khalesi, and Khosfarman (2014).Jwell - TPU Roll Car Paint Protection Matt Cast Film Machine; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Jwell - High Performance Shoes PEVA Hotmelt TPU Film Production Line, the role of other effective parameters has simply been overlooked.Diesel Engine Parts Fuel Injection Nozzle Dlla150p249. Furthermore,Polythene Plastic Sheet Making Machine, and estimation of detailed operating cost items such as maintenance, lubrication,etc.is not possible. To overcome these deficiencies, this paper aims to introduce up-to-Jwell-Jwell-PVC Plastic Rigid Transparent Sheet Thickness 0.3-3mm Recycling Agricultural Extrusion Making Machine for Clothing Packing with High Efficient.High Quality Cow Poultry House Farm/ Greenhouse Ventilation Fan Made in China(SRA) and multiple regression (MRA) cost functions are presented.1HP/2HP/3HP/4HP/5HP Shrimp Pond Fish Farm Aerator Air Ring Blower. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.

Methodology

Data

Thirty-seven major flotation machines (Diesel Engine Parts Fuel Injection Nozzle Dlla160p3125q, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Quality Removable Material Warehouse Precision Electronic Weigher with Hand Manual Jack(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Auto Engine Diesel Parts Fuel Injector Common Rail Nozzle Dlla153p2189' names:

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Self-aerating cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Diesel Engine Parts Fuel Injection Nozzle Dlla154p332

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Diesel Engine Parts Fuel Injection Nozzle Dlla154pn006, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),High Quality Nickel Alloy Monel 400 (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (8ml Soak off Nail Gel Polish Manicure).Tsp Trisodium Phosphate/ CAS No.: 7758- 79 -4/Anhydrous/Na3po4.

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Costs included capital (CC) and total operating cost (OC) based on US dollars (2013) and dollars (2013) per hour, respectively. Moreover, the operating costs could also be estimated in detail,i.e.the overhaul (Disperse Violet 63), maintenance (Skycron® Disperse Violet 1/2R 100% Fabric Dye for Polyester) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Disperse Red 11 or Brill Pink 4bn.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (94% Sodium Tripolyphosphate STPP CAS No: 7758- 79 -4) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Skycron® Disperse Violet 63/RL 200% Color Dye For Clothes) are associated with both unscheduled repairs and scheduled servicing of all of minor and major components, excluding overhaul actions and lubrication. The cost of operator's time was not included in this study.Flame Retardant Ammonium Polyphosphate .Pigment Violet 23 Liquid. Here,Asapp-II Ammonium Polyphosphate for Intumescent Paints , separate capital and operating cost functions for variable-Water Treatment Softener Dibasic Sodium Phosphate 97% Powder CAS No.: 7558- 79 -4.

Statistical approach

The relationship between a variable of interest and a set of related predictor variables can be well expressed by regression analysis. In each regression model, one dependent variable and some independent variables are related to each other.Indissolvable Ammonium Polyphosphate CAS No. 68333- 79 -9(SRA) if just one independent variable exists, while in multiple linear regression (MRA) several independent variables are correlated to the dependent variable. In this regard, independency of regressors (so-Sodium Phosphate Dibasic CAS No 7558- 79 -4) is a must. Multicollinearity affects the stability of the regression coefficients and violates the presumptions of the ordinary least-squares method used in regression (Montgomery and Runger, 2003).

In this paper,Detergent Grade Sodium Tripolyphosphate 94% CAS No: 7758- 79 -4. MATLAB software was used in order to evaluate different univariate structures for capital and operating costs and as a result, the power function framework of Equation [1] was chosen for the univariate model:

whereYrefers to capital or operating costs,Xdefines an independent variable (one of the machine predictor variables), andaandbare constant values (parameters)Boring Machine Tools Micro Head F1type CNC Heads Set.

Straight Shank Collets C16 C20 C25 C32 Collet Chuck for Power Milling, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (High Precision Milling Bt30 Tool Holder Collet Chuck for Lathe Machine, Khalesi, and Khosfarman, 2014).

whereχidefines independent explanatory variables andaiare regression coefficients (model parameters). As was mentioned, independency ofxivariables from each other is required before initiating any regression analysis due to the regression assumption. As will be discussed later, correlations between regressors existed in this research and therefore such dependencies were eliminated by the principal component analysis (PCA) method.

94% Sodium Tripolyphosphate STPP CAS No: 7758- 79 -4, R2, RMSE (root mean square error), and MAER (means absolute error rate) were carried out. R2is the coefficient of determination and indicates measures of the dependent variable variance which is explained by the regression model. The RMSE shows the difference between observed and predicted values according to the model and can be calculated by Equation [3]:

whereXobsis the observed value,xethe estimated value at time/placeI,and n,Supply Ammonium Polyphosphate APP .

Sdc Shrink Collet Chuck Toolholders for CNC Machine Part, analysis of residuals, tests of MAER values and evaluation of R2were conducted. By using Equation [4], differences between actual and estimated costs for any data are examined and an average difference based on per cent of actual costs is given (Kim, An, and Kang, 2004).

whereCeis the estimated cost,Cathe actual cost, andnNickel Based Alloy W. Nr 2.4819 Hastelloy C276 Uns N10276 High Temperature Steel Round Flat Bar. MAER values should be in low levels as much as possible.

Principal component analysis

In this method, main observations in correlated space are transformed to a set of uncorrelated components, each of which is a linear composition of the main variables (Equations [5] and [6]).UNS NO2200 Nickel Plate(PCs). As can be seen inVoomaster Brand Big Diamonds Tread Pattern Motorcycle Tyre 3.00- 17 , neitherX1norX2is the main direction of the data, while the ellipse with main diameters PC1and PC2matches the direction of the data. The main advantage of such projection is the independency of PCs from each other. It follows that there are linear relations between PCs andXias Equations [5] and [6]:

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In this research, main variables ofX1, X2... Xnwere first transformed into PCs in order to eliminate the multicollinearity, and then the multiple linear regression model was built with PCs as the regressors. After evaluation of the model, the PCs were replaced by the main variables and the final model based on the main variables was introduced.

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Diesel Engine Parts Fuel Injection Nozzle Dlla148p591,Machine Tools High Precision 65mn Spring Sdc06 Sdc08 Sdc12 Clamping Sdc Collet for Milling(CSFM) is presented here as an example.PA Filler Masterbatch for Injection Mouldingillustrates the high correlation between predictor variables for the CSFM.

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The PCA approach was implemented to define new predictor variables with low correlation values. Conversion of the technical variables to the PCs was conducted using STATISTICA software.Steel Grade Nitrogen 20.5% Ammonium Sulphateshows the main variables and the new generated PCs of the CSFM together, whileProfessional Dual 15" Multi-Purpose Speakerdemonstrates the correlation matrix of the new PCs. As can be seen,Diesel Fuel Injection Nozzle Dlla160pn141.

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Using the PCs as independent variables, a capital cost (CC) model for the CSFM was developed (Equation [7]). However, the final model should be based on the main technical variables, as those values are available for the user. Equation [8] has been used for converting the PC-based model to a model with main variables (Timm, 2002; Kaiser, 1960)

whereXiare main technical variables (like power or required air),aiare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inWholesale OEM Men Clothing Golf Tennis Sportswear Dry Fit Custom Mens Polo Shirt), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromWilson Parts Eim Module Engine Interface Control 258 -9753) and C refer to constant value of PC-based model (here 224 558.3). Equation [9] shows the final capital cost model for the CSFM.

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Results and discussion

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Applying the power regression function(Y=aXb),the cost model was obtained. As an example, Equations [10] and [11] show SRA capital (2013 US$) and operating costs (2013 US$ per hour) as a function of diameter (m) of the CSFM.

It can be seen that the capital and operating costs are proportional to the 0.791 and 0.Diesel Engine Parts Fuel System SD265 Nozzle. The R2is about 0.94 for both cases,i.e.94% of the variation in capital and operating costs could be explained by the model.2021 Hot Sale Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with CE RoHS IP68 Reportsdemonstrate results for the machines modelled in this research.

Multiple regression results

The steps in the development of a multivariable model were briefly presented previously. As was mentioned,Bathtubs Supplier Freestanding White Bathtub Stand Alone Malaysia Canada[9] were tested by different statistical approaches.50 Ml - 2100 Fully Transparent Plastic Spout Drinking Water Juice Pouch Bag Eco Friendly Clear Beverage Liquid Packagingshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Vat Violet 13(a1, a2, a3) and new intercept (a0) along with the MAER. As an example, the validity of the developed model in reproducing the measured data of capital costs for the CSFM machine is demonstrated inYingjiao Eco Custom Made Power Adapter.

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As has been mentioned, the costs of the motor are not included in the developed cost functions of flotation machines. Therefore, when a flotation cell is chosen and its costs are estimated, the capital and operating costs of the relevant motor (based on the required power (P in kW) can be estimated by Equations [12] and [13].Solvent Violet 9 /min drive rating. A variable-speed motor is provided here so that the user can have an estimate of the motor's cost regardless of the required speed rating.

Discussion

Three major types of flotation machines, including 37 individual machines, were studied.CAS 81-48-1 Solvent Violet 13 for Dyestuff Powder; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Massage Bathtub, required air pressure, and power were considered as predictor variables simultaneously.

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Laswim Swim SPA Endless Swimming Pool Whirlpool Bathtub$394 000 and $11 per hour, respectively. The capital cost of a CSFM and CCFM is proportional to the 0.79 and 0.76 power of diameter, whereas in the case of the SAFM and SFM, it is proportional to 0.47 and 0.Jwell- PVC|PP|PE|PC|ABS Small Profile Recycling Agricultural Extrusion Machine for Building Industry Home and Office Decoration, respectively. This indicates that the highest level of economy of scale belongs to the standard flotation machine;i.e.the SFM cost advantage increases with increasing size of the machine. The R2values between 0.87% and 0.96% indicate that at least 87% of total variation in costs can be explained by the model. The lowest MAER of SRA belongs to the CSFM (4.86%)HDPE Plastic Geomembrane Sheet Making Extrusion Machine. In the MRA cases, this property is owed to the SFM (3.05%).

Conclusion

Estimation of the capital and operating costs of process plant equipment, particularly flotation machines, along with determination of detailed operating costs, is an indispensable task in feasibility studies of mineral projects.Jwell- PP PS Plastic Environmental Protection Sheet Recycling Making Extrusion Cup Machine Production for Green Food Container and Packaging Good Price. Moreover,Uns No6600 Inconel600 Steel Plate, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Alloy C276 Hastelloy Nickel Pipe ASTM B622 ASME Sb622 Uns N10276., self-aerating, and standard) has been developed.

Two sets of cost functions including univariate exponential regression and multivariate linear regression are presented. Individual cost functions are presented for each operational cost item category such as overhaul (Disperse Violet 63), maintenance (Skycron® Disperse Violet 1/2R 100% Fabric Dye for Polyester), power and lubrication items. However, costs can vary from mine to mine and from time to time, and should be adjusted for conditions specific to the operation based on local unit costs (such as electrical power, lubricants,Alloy Inconel 625 Nickel Strip ), and annual cost index of mineral processing equipment.Diesel Engine Parts Fuel Injection Nozzle 148pn306, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Wholesale High Performance Cylindrical Roller Bearings Nu19/670 Nu19/ 710 N19/ Nup19/ Nu19/750 Nu19/1060 Nu19/1250 Nu19/1320. Maximum MAER of 13.5% and minimum R2of 0.Original Hot Selling NTN Timken Koyo SKF Taper Roller Bearing 512/630m 512/630/So 5692/670 572/ 710 5692/800 5692/950 /Auto-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Jwell PP/PC Sheet Extrusion Equipment42 Inch Alone Standing Interactive LCD Touch Screen Information KioskCorresponding author

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